Random Walks Along the Streets and Channels in Compact Cities: Spectral analysis, Dynamical Modularity, Information, and Statistical Mechanics

Statistics of random walks in compact cities helps to detect their modularity.The complexity of city modularity can be measured by an information-like parameter which plays the role of an individual fingerprint of {\it Genius loci}. Global structural properties of a city can be characterized by the thermodynamical parameters calculated in the random walks problem